New determination of dynamic permittivity and resonant frequency of tunable circular disk microstrip structures

Abstract

A new and simple dynamic permittivity expression for the circular disk microstrip structure including air gap is determined and used in the resonant frequency calculation. The formulation provides the best fit with the experiments for fundamental and higher order modes. The proposed dynamic permittivity expression is valid for thin and thick gaps and is well suited to be used in the computer‐aided design of the tunable characteristics of the structure. © 2000 John Wiley & Sons, Inc. Int J RF and Microwave CAE 10: 120–126, 2000.

An accurate effective radius formula based on taguchi method for calculating resonant frequency of electrically thin and thick circular patch antennas

“…Tables and show the resonant frequencies obtained by HFSS simulations, calculated in this work, and calculated by Abboud et al , by Karaboga et al , by Akdagli and Güney , by Akdagli , by Shen et al , by Guha , by Güney , by Gurel and Yazgan , and by Günel . These tables also contain the ARD and MRD between the simulated and calculated resonant frequency results.…”

“…It is seen from Tables and that when the substrate electrically thickness h/λ d is less than 0.1, the ARD between the simulated resonant frequency results and the calculated resonant frequency results using the new effective radius expression and the other formulae given in Refs. and is less than 2%, but the MRD for the formulae given in Refs. and is greater than 3%.…”

“…The minimum ARD and MRD are obtained using the formulae given in Ref. , which are 0.804% and 1.907%, respectively. However, when the substrate electrically thickness h/λ d ranges from 0.1 to 0.2, the calculated resonant frequency results using the new effective radius expression are more accurate than those predicted using the previous methods.…”

An accurate effective radius formula based on taguchi method for calculating resonant frequency of electrically thin and thick circular patch antennas

“…Tables and show the resonant frequencies obtained by HFSS simulations, calculated in this work, and calculated by Abboud et al , by Karaboga et al , by Akdagli and Güney , by Akdagli , by Shen et al , by Guha , by Güney , by Gurel and Yazgan , and by Günel . These tables also contain the ARD and MRD between the simulated and calculated resonant frequency results.…”

“…It is seen from Tables and that when the substrate electrically thickness h/λ d is less than 0.1, the ARD between the simulated resonant frequency results and the calculated resonant frequency results using the new effective radius expression and the other formulae given in Refs. and is less than 2%, but the MRD for the formulae given in Refs. and is greater than 3%.…”

“…The minimum ARD and MRD are obtained using the formulae given in Ref. , which are 0.804% and 1.907%, respectively. However, when the substrate electrically thickness h/λ d ranges from 0.1 to 0.2, the calculated resonant frequency results using the new effective radius expression are more accurate than those predicted using the previous methods.…”

Computation and optimization of resonant frequency and input impedance of a coax‐fed circular patch microstrip antenna

“…Experimental [2] and theoretical [1][2][3][4][5][6][7][8][9][10] [3], Roy and Jecko [4], Guney [5], Gurel and Yazgan [6 -8], Guha [9], Gunel [10], and the present formulation, which are mainly produced from the cavity analysis depending of the usage of effective or dynamic permittivity values combined with effective or physical patch radius values. Average percentage error values are also shown in the same table indicating the accuracy is affected mainly by the gap thickness and the mode numbers.…”

“…where h T ϭ h 1 ϩ h 2 is the total thickness of the equivalent model, n is the radial mode index value for nm th mode, and M is the modal index coefficient, which is obtained from dynamic main capacitance expression of circular patch [7]: …”

An accurate effective radius formula based on taguchi method for calculating resonant frequency of electrically thin and thick circular patch antennas

“…Tables and show the resonant frequencies obtained by HFSS simulations, calculated in this work, and calculated by Abboud et al , by Karaboga et al , by Akdagli and Güney , by Akdagli , by Shen et al , by Guha , by Güney , by Gurel and Yazgan , and by Günel . These tables also contain the ARD and MRD between the simulated and calculated resonant frequency results.…”

“…It is seen from Tables and that when the substrate electrically thickness h/λ d is less than 0.1, the ARD between the simulated resonant frequency results and the calculated resonant frequency results using the new effective radius expression and the other formulae given in Refs. and is less than 2%, but the MRD for the formulae given in Refs. and is greater than 3%.…”

“…The minimum ARD and MRD are obtained using the formulae given in Ref. , which are 0.804% and 1.907%, respectively. However, when the substrate electrically thickness h/λ d ranges from 0.1 to 0.2, the calculated resonant frequency results using the new effective radius expression are more accurate than those predicted using the previous methods.…”

Computation and optimization of resonant frequency and input impedance of a coax‐fed circular patch microstrip antenna

“…Experimental [2] and theoretical [1][2][3][4][5][6][7][8][9][10] [3], Roy and Jecko [4], Guney [5], Gurel and Yazgan [6 -8], Guha [9], Gunel [10], and the present formulation, which are mainly produced from the cavity analysis depending of the usage of effective or dynamic permittivity values combined with effective or physical patch radius values. Average percentage error values are also shown in the same table indicating the accuracy is affected mainly by the gap thickness and the mode numbers.…”

“…where h T ϭ h 1 ϩ h 2 is the total thickness of the equivalent model, n is the radial mode index value for nm th mode, and M is the modal index coefficient, which is obtained from dynamic main capacitance expression of circular patch [7]: …”

An accurate effective radius formula based on taguchi method for calculating resonant frequency of electrically thin and thick circular patch antennas

“…Tables and show the resonant frequencies obtained by HFSS simulations, calculated in this work, and calculated by Abboud et al , by Karaboga et al , by Akdagli and Güney , by Akdagli , by Shen et al , by Guha , by Güney , by Gurel and Yazgan , and by Günel . These tables also contain the ARD and MRD between the simulated and calculated resonant frequency results.…”

“…It is seen from Tables and that when the substrate electrically thickness h/λ d is less than 0.1, the ARD between the simulated resonant frequency results and the calculated resonant frequency results using the new effective radius expression and the other formulae given in Refs. and is less than 2%, but the MRD for the formulae given in Refs. and is greater than 3%.…”

“…The minimum ARD and MRD are obtained using the formulae given in Ref. , which are 0.804% and 1.907%, respectively. However, when the substrate electrically thickness h/λ d ranges from 0.1 to 0.2, the calculated resonant frequency results using the new effective radius expression are more accurate than those predicted using the previous methods.…”

Computation and optimization of resonant frequency and input impedance of a coax‐fed circular patch microstrip antenna

“…Experimental [2] and theoretical [1][2][3][4][5][6][7][8][9][10] [3], Roy and Jecko [4], Guney [5], Gurel and Yazgan [6 -8], Guha [9], Gunel [10], and the present formulation, which are mainly produced from the cavity analysis depending of the usage of effective or dynamic permittivity values combined with effective or physical patch radius values. Average percentage error values are also shown in the same table indicating the accuracy is affected mainly by the gap thickness and the mode numbers.…”

“…where h T ϭ h 1 ϩ h 2 is the total thickness of the equivalent model, n is the radial mode index value for nm th mode, and M is the modal index coefficient, which is obtained from dynamic main capacitance expression of circular patch [7]: …”